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Borda and the maximum likelihood approach to vote aggregation

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  • Truchon, Michel

Abstract

Drissi-Bakhkhat and Truchon ["Maximum Likelihood Approach to Vote Aggregation with Variable Probabilities," Social Choice and Welfare, 23, (2004), 161-185.] extend the Condorcet-Kemeny-Young maximum likelihood approach to vote aggregation by relaxing the assumption that the probability of correctly ordering two alternatives is the same for all pairs of alternatives. They let this probability increase with the distance between the two alternatives in the true order, to reflect the intuition that a judge or voter is more prone to errors when confronted to two comparable alternatives than when confronted to a good alternative and a bad one. In this note, it is shown than, for a suitably chosen probability function, the maximum likelihood rule coincides with the Borda rule, thus, partially reconciling the Borda and the Condorcet methods.

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Bibliographic Info

Article provided by Elsevier in its journal Mathematical Social Sciences.

Volume (Year): 55 (2008)
Issue (Month): 1 (January)
Pages: 96-102

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Handle: RePEc:eee:matsoc:v:55:y:2008:i:1:p:96-102

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Web page: http://www.elsevier.com/locate/inca/505565

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References

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  1. Donald Saari, 2006. "Which is better: the Condorcet or Borda winner?," Social Choice and Welfare, Springer, vol. 26(1), pages 107-129, January.
  2. Mohamed Drissi-Bakhkhat & Michel Truchon, 2004. "Maximum likelihood approach to vote aggregation with variable probabilities," Social Choice and Welfare, Springer, vol. 23(2), pages 161-185, October.
  3. Michel Truchon, 2004. "Aggregation of Rankings in Figure Skating," Cahiers de recherche 0414, CIRPEE.
  4. Mathias Risse, 2005. "Why the count de Borda cannot beat the Marquis de Condorcet," Social Choice and Welfare, Springer, vol. 25(1), pages 95-113, October.
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Cited by:
  1. Marcus Pivato, 2013. "Voting rules as statistical estimators," Social Choice and Welfare, Springer, vol. 40(2), pages 581-630, February.
  2. Conitzer, Vincent, 2012. "Should social network structure be taken into account in elections?," Mathematical Social Sciences, Elsevier, vol. 64(1), pages 100-102.
  3. Jean-François Laslier, 2009. "In Silico Voting Experiments," Working Papers hal-00390376, HAL.
  4. Truchon, Michel & Gordon, Stephen, 2009. "Statistical comparison of aggregation rules for votes," Mathematical Social Sciences, Elsevier, vol. 57(2), pages 199-212, March.
  5. Islam, Jamal & Mohajan, Haradhan & Moolio, Pahlaj, 2011. "Borda voting is non-manipulable but cloning manipulation is possible," MPRA Paper 50848, University Library of Munich, Germany, revised 10 Jan 2012.
  6. T. Tideman & Florenz Plassmann, 2014. "Which voting rule is most likely to choose the “best” candidate?," Public Choice, Springer, vol. 158(3), pages 331-357, March.

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